Question

Simplify the Polynomial Expresion
b(6.5a-35b)-1.7a(2b)

Answers

Answered by GPT-4o mini
Let's simplify the polynomial expression \( b(6.5a - 35b) - 1.7a(2b) \).

1. Distribute \( b \) in the first term:
\[
b(6.5a - 35b) = b \cdot 6.5a - b \cdot 35b = 6.5ab - 35b^2
\]

2. Distribute \( -1.7a \) in the second term:
\[
-1.7a(2b) = -3.4ab
\]

3. Now, combine the two results:
\[
6.5ab - 35b^2 - 3.4ab
\]

4. Combine like terms (the terms with \( ab \)):
\[
(6.5ab - 3.4ab) - 35b^2 = 3.1ab - 35b^2
\]

So, the simplified form of the expression is:
\[
\boxed{3.1ab - 35b^2}
\]
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